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Finding the Fourth Proportional to 7,585.42, 10,462.76 and 6,588.98

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Solution

The fourth proportional to 7,585.42, 10,462.76 and 6,588.98 is: 9,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.42 : 10,462.76 = 6,588.98 : x
  2. Step 2: Convert to fraction form
    7,585.42/10,462.76 = 6,588.98/x
  3. Step 3: Cross multiply
    7,585.42x = 10,462.76 × 6,588.98
  4. Step 4: Simplify right side
    7,585.42x = 68,938,916.38
  5. Step 5: Solve for x
    x = 68,938,916.38/7,585.42
  6. Step 6: Final answer
    x = 9,088.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.